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Finding the Fourth Proportional to 511,136.38, 705,373.06 and 281,702.04

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Solution

The fourth proportional to 511,136.38, 705,373.06 and 281,702.04 is: 388,751.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,136.38 : 705,373.06 = 281,702.04 : x
  2. Step 2: Convert to fraction form
    511,136.38/705,373.06 = 281,702.04/x
  3. Step 3: Cross multiply
    511,136.38x = 705,373.06 × 281,702.04
  4. Step 4: Simplify right side
    511,136.38x = 198,705,029,963.04
  5. Step 5: Solve for x
    x = 198,705,029,963.04/511,136.38
  6. Step 6: Final answer
    x = 388,751.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.